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Finding the Third Proportional to 83,032.13 and 128,230.88

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Solution

The third proportional to 83,032.13 and 128,230.88 is: 198,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.13 : 128,230.88 = 128,230.88 : x
  2. Step 2: Convert to fraction form
    83,032.13/128,230.88 = 128,230.88/x
  3. Step 3: Cross multiply
    83,032.13x = 128,230.88 × 128,230.88
  4. Step 4: Simplify right side
    83,032.13x = 16,443,157,303.27
  5. Step 5: Solve for x
    x = 16,443,157,303.27/83,032.13
  6. Step 6: Final answer
    x = 198,033.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.